document.write( "Question 1142733: A college used a $7,000 gift from an alumnus to make two student loans. The first was at 3% annual interest to a nursing student. The second was at 6% to a business major. If the college collected $300 in interest the first year, how much was loaned to each student? \n" ); document.write( "
Algebra.Com's Answer #763467 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "(1) Do the calculation to determine that $300 return on $7000 represents an interest rate of (30/7)%, or 4 2/7%.

\n" ); document.write( "(2) Do the calculations to determine that 4 2/7% is 3/7 of the way from 3% to 6%.

\n" ); document.write( "(3) That means 3/7 of the total was loaned at the higher rate.

\n" ); document.write( "ANSWER: 3/7 of $7000, or $3000, at 6%; the other $4000 at 3%.

\n" ); document.write( "CHECK: .06(3000)+.03(4000) = 180+120 = 300.
\n" ); document.write( "
\n" );